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114301330332 = 22377146741039
BaseRepresentation
bin110101001110011100…
…0111110001110011100
3101221000212010012022220
41222130320332032130
53333042120032312
6124302002105340
711154331164060
oct1523470761634
9357025105286
10114301330332
1144525137272
121a19b34b250
13aa17693a97
145764575aa0
152e8ea40c8c
hex1a9ce3e39c

114301330332 has 96 divisors (see below), whose sum is σ = 309765980160. Its totient is φ = 32127829440.

The previous prime is 114301330313. The next prime is 114301330333. The reversal of 114301330332 is 233033103411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114301330333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2764669 + ... + 2805707.

It is an arithmetic number, because the mean of its divisors is an integer number (3226728960).

Almost surely, 2114301330332 is an apocalyptic number.

114301330332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114301330332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154882990080).

114301330332 is an abundant number, since it is smaller than the sum of its proper divisors (195464649828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114301330332 is a wasteful number, since it uses less digits than its factorization.

114301330332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41591 (or 41589 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 114301330332 its reverse (233033103411), we get a palindrome (347334433743).

The spelling of 114301330332 in words is "one hundred fourteen billion, three hundred one million, three hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 467 497 852 934 994 1401 1491 1868 1988 2802 2982 3269 5604 5964 6538 9807 13076 19614 33157 39228 41039 66314 82078 99471 123117 132628 164156 198942 232099 246234 287273 397884 464198 492468 574546 696297 861819 928396 1149092 1392594 1723638 2785188 2913769 3447276 5827538 8741307 11655076 17482614 19165213 20396383 34965228 38330426 40792766 57495639 61189149 76660852 81585532 114991278 122378298 134156491 229982556 244756596 268312982 402469473 536625964 804938946 1360730123 1609877892 2721460246 4082190369 5442920492 8164380738 9525110861 16328761476 19050221722 28575332583 38100443444 57150665166 114301330332